Lyric discussion by purpletoad 

Cover art for Stupid Girl lyrics by Rolling Stones, The

The way she professes to know things that she doesn't and the way that she is two-faced, shows her stupidity. Stupidity is defined by her lack of character. As he says, he doesn't judge her on superficial things that don't matter. I do agree that the song targets a certain type of woman -- it's not a misogynistic song. In a broader sense however -- and probably most importantly -- the "girl" is a metaphor for established society's closed-mindedness - devoid of trueness.